San Clemente's Virtual Study Hub
Type in your topic- Mr Woo has the answer!
Algebra
Help with algebra basics
From Supporting Australian Mathematics Project
Laws of arithmetic and their use in algebra
From Supporting Australian Mathematics Project
Lessons and Videos for grades 7-12.
Was maths discovered or invented?
​Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is maths the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Equations
From eMathzone
Lesson from Shmoop.
From the National Council of Teachers of Mathematics.
Look for the lesson on Solving Simple Equations.
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General Mathematics Resources Online
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The Australian Curriculum Mathematics Glossary
Algebraic expression, pronumerals, variables, constant, coefficient, evaluate, substitute, distributive law and more
Australian Mathematics Project
Great site for getting your head around the basics. Resources for students in years 7-9.
Games, clips and digibooks linked to Australian curriculum outcomes
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"Plus magazine opens a door to the world of maths, with all its beauty and applications, by providing articles from the top mathematicians and science writers on topics as diverse as art, medicine, cosmology and sport."
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Mastery based learning drills
A comprehensive mathematics site. Choose from areas of interest in the subject index.
Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace
Award winning Maths teacher Eddie Woo
Calculus
Calculus-Help.com offers advanced maths students a place to practice.
Resources For The Calculus Student.
From Harvey Mudd College Department of Mathematics.
Distance Calculus @ Shorter University
High school students who are advanced, and have completed their school's AP Calculus course, and would like to continue their calculus studies rather than wait until they start university can enrol in this course.
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From the School of Mathematics and Statistics at the University of St. Andrews, Scotland. Over 80 famous curves such as rhodonea, right strophoid and the Parabola. Needs JAVA.
Graphics for the Calculus Classroom
Douglas N. Arnold.
From Drexel University.
Free teaching and learning activities to download. Mostly Powerpoint and MS Word documents.
The primary author of these notes is Lawrence S. Husch, Professor of Mathematics at the University of Tennessee.
BBC - Skillswise - Fractions and Percentages
BBC - Skillswise - Introduction to Fractions
BBC - Skillswise - Percentages
Calculating percentage and simple interest: Banking
From ABC Splash
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Converting decimals to percents
Khan Academy
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Dirt Bike Comparing Fractions Game
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Compare the size of fractions.
Find equivalent fractions.
Can you fold a piece of paper in half?
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From Kids Online.
Maths in a minute: Adding fractions (the easy way)
A fraction tutorial
Fractions
Binary Numbers
Maths in a minute: Binary numbers
Most people are aware of the fact that computers work using strings of 0s and 1s. But how do you write numbers using only those two symbols? From Plus Maths.
George Boole and the wonderful world of 0s and 1s
2015 is a special anniversary for mathematicians. It is the bicentenary of the birth of George Boole, one of the founding fathers of our modern computers. By Ems Lord, Plus Maths.
Most people probably know that computers work on 0s and 1s. And, being electronic devices, it's also pretty obvious that they work on some kind of electronic circuits. But how do these things fit together and how do computers actually manage to perform their tasks?
Ratios and Percents
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From BBC Bitesize.
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From MathLeague.
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BBC Skillswise.
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"We are able to view all entities, from the microworld to the universe, from a single perspective. By setting them up against a scale, we are able to compare and understand things which cannot be physically compared." From NIKON
Statistics
"The Understanding Statistics pages are here to support your statistical literacy development and assist you understand, evaluate and communicate statistical data and information."
From Australian Bureau of Statistics.
Including relative frequency.
Calculating relative frequencies
From Australian Mathematical Sciences Institute.
Virtual manipulatives for Data Analysis & Probability, grades 6 - 8.
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Probability, problems and exercises from Cut the Knot.
Supporting Australian Mathematics Project
From Teaching Treasures
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Introduction to descriptive statistics
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Amazing Applications of Probability and Statistics
By Tom Rogers.
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From Neuroscience for Kids.
Decimals
Why use decimals? From BBC Skillswise.
Choose Decimals & Percents from the "See all Topics" menu.
From StudyJams.
From BBC Skillswise.
From BBC Skillswise.
From ABC Splash.
math problem solver with steps to show your work
Application of statistics for real world issues
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ABS Aus Bureau of Statistics
Click on Downloads in any topic to find the Excel spreadsheets.
Videos are also available for many topics.
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How do I download Time Series Spreadsheets?
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​From NSW Centre for Road Safety.
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The World Factbook provides information on the history, people, government, economy, geography, communications, transportation, military, and transnational issues for 267 world entities.
GeoHive is a site with all kinds of population statistics.
Data can be downloaded as a .txt file and imported into Excel
Nation Master is a vast compilation of data from such sources as the CIA World Factbook, UN, and OECD. Generate your own maps and graphs on all kinds of statistics.
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OECD iLibrary contains all the publications and datasets released by OECD (Organisation for Economic Cooperation and Development), International Energy Agency (IEA), Nuclear Energy Agency (NEA), OECD Development Centre, PISA (Programme for International Student Assessment), and International Transport Forum (ITF) since 1998.
Data can be downloaded as an Excel spreadsheet.
This resource is from the University of Auckland Library, and provides access to free statistics from official sources on the Web for every country in the world
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PROBABILITY
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​Probability, problems and exercises from Cut the Knot.
Data analysis and probabilityVirtual manipulatives for Data Analysis & Probability, grades 6 - 8.
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From ABC Splash.
Knowmia - Statistics & Probalility
Video lessons on Statistics and Probability.
From ABC Splash.
Supporting Australian Mathematics Project - Statistics and Probability
"Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. How does the experimental probability compare with the theoretical probability?"
From the National Council of Teachers of Mathematics.
Choose a starting place for a wildfire and enter the probability that it will spread; then, watch the results as the fire weaves through the forest or burns itself out.
From the National Council of Teachers of Mathematics.
Virtual manipulatives for Data Analysis & Probability.
From the National Library of Virtual Manipulatives.
Grades K-12.
6, 8, 10 and 12 faced dice. Each die can be customised with your own text symbol or number values.
Data and it's real world uses
Using Big Data To Fight Pandemics
By Nuria Oliver, November, 2014
Life Expectancy to Jump by 2020
​From Terra Forming Terra.
The sites on this page all have data which can be downloaded to an excel spreadsheet.
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From Maths is Fun.
Worldmapper is a collection of world maps, where territories are re-sized on each map according to the subject of interest.
Data can be downloaded as an Excel file.
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The lottery of birth is responsible for much of who
we are​
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Students click to build dot plots of data and view how the mean, median, and mode change as numbers are added to the plot
Students can change the standard deviation of the graphed normal distribution to create a new distribution, allowing them to observe properties like how well the histogram fits the curve and how areas under the curve correspond to the probability that a number is selected. From Shodor
Students can change the median standard deviation of the graphed normal distribution to create a skewed distribution, allowing them to observe properties like what it means for the mean, median, and mode to be different. From Shodor
Students enter data and view the mean, median, variance and standard deviation of the data set. From Shodor
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Democratizing data: Why data literacy will be the most important new skill of the 21st century
By Robert J. Moore, RJMetrics
​This website, powered by Trendalyzer, enables you to explore the changing world from your own computer. Moving graphics show how the development of all countries by the indicators you choose
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Making sense of too much data by TED
It's the age of Big Data. But what, exactly, do we do with all this information? These talks explore practical, ethical — and spectacularly visual — ways to understand near-infinite data
Calculate mean, median, mode along with the minimum, maximum, range, count, and sum for a set of data.
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This data is available as a visualization and as an Excel spreadsheet.
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This site contains detailed country statistics, charts, and maps compiled from multiple sources
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PLACE II estimates the number of people (head counts and percentages) and the land area (square kilometers and percentages) represented within each class of a number of demographic, physical, biological, and climatic variables for each country around the world,
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Show World is an interactive mapping website that takes demographic, economic, environmental, and political data sets and creates maps based on those data
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StatWorld - 400+ interactive maps of open data - economy, health, ICT, rankings, etc.
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Financial Math
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From Supporting Australian Mathematics Project​
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MoneySmart website is run by the Australian Securities and Investments Commission (ASIC) to help people make smart choices about their personal finances.
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​Learn the math behind your money
Geometric Constructions
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Constructing triangles and bearings
From revision math.
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Intersecting and parallel lines
From BBC Bitesize.
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From BBC Bitesize.
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Pythagoras of Samos (ca. 560-ca. 480 BC)
From Wolfram Research learn about the mystic Pythagorean cult
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Internet Encyclopedia of Philosophy.
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An Interactive Proof of Pythagoras' theorem
A full range of activities on Pythagoras Theorem.
Number patterns
Exercises from Australian Mathematical Sciences Institute.
From Maths Is Fun.
Patterns and structures are fundamental to mathematics.
Fibonacci & Golden Ratio
Fibonacci and Golden Ratio Formulae
Collection of mathematical tables providing descriptions and equations on Fibonacci and Lucas numbers and the golden ratio. Also covers their binomial coefficients. By Dr Ron Knott.
By Dr Ron Knott.
Fibonacci Numbers and Nature - Part 2
Why is the Golden section the "best" arrangement? By Dr Ron Knott.
Fibonacci's 'Numbers': The Man Behind The Math
Excerpted from Man of Numbers: Fibonacci's Arithmetic Revolution by Keith Devlin.
The Fibonacci sequence: A brief introduction
by Rachel Thomas.
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Painted with numbers: mathematical patterns in nature
Mathematical patterns are a universal feature of the natural world, from the petals of flowers and the seeds in an apple to honeycombs and the ratios of musical harmony.
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The Life and numbers of Fibonacci
By R.Knott, D.A.Quinney and PASS Maths.
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"GoldenNumber.Net exists to share information on the pervasive appearance of Phi, 1.618 ... , the Golden Ratio in life and the universe."
A guide to the Golden Ratio for designers
From Wolfram MathWorld
By Dr Ron Knott.
From ABC Science.
Trigonometry
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Trigonometry Problem Solver
A good site for beginners. From GSCE Maths.
From The Math Page.
Sine, cosine, trangent. Laws, Formula, Theorems
From Math Warehouse.
YouTube Clip MATHS: Trigonometry & Logarithms
Marcus Du Sautoy- The mathematician plays with Logarithms and Primes, and explains what we use Trigonometry and Sines and Cosines for.
Geometry
Angles Sums - Can you find a relationship between the number of sides and the sum of the interior angles? From Illuminations.
​Exploring Angles within a Triangle (Video Interactive) - From Math Interactives.
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Exploring Parallel Lines (Object Interactive)
From Math Interactives.
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From KS3 Bitesize Maths
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Triangles - Equilateral, Isosceles and Scalene
From Math is Fun.
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From Math Open Reference.
Geometry topics and lessons
Puzzles and brain teasers and that wrestle with geometry problems.
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Free mathematics software for learning and teaching
Interactive graphics, algebra and spreadsheet
From elementary school to university level
By Cynthia Lanius.
Online Geometry, Problems, Mind Maps, Word Clouds, Software, Mining, Art, Golden Rectangles.
The geometric rules behind fly eyes, honeycombs, and soap bubbles.
BY Philip Ball, April, 2016